The computed characteristics of turbulent flow and convection in concentric circular annuli. Part IV: Generalizations

This is the concluding portion of a four-part numerical investigation. The first was limited to the prediction of the velocity field, a prerequisite for the prediction of convection. The second concerned the prediction of the Nusselt number for uniform heating on the inner wall only, and the third the prediction of the Nusselt numbers for most of the other thermal boundary conditions that occur in practice. Herein, generalized predictive equations are presented for all of these conditions. The number of such equations and coefficients is minimized by the use of superposition and generalized expressions for the dependence on Re and Pr, and to some extent on the aspect ratio.

[1]  Bo Yu,et al.  The accuracy and parametric sensitivity of algebraic models for turbulent flow and convection , 2005 .

[2]  N. Arai,et al.  Exact formulations and nearly exact numerical solutions for convection in turbulent flow between parallel plates , 2000 .

[3]  B Gitanjali,et al.  New wine in new bottles , 2004 .

[4]  Michael Jischa,et al.  About the prediction of turbulent prandtl and schmidt numbers from modeled transport equations , 1979 .

[5]  Turbulent flow in channels in terms of turbulent shear and normal stresses , 1995 .

[6]  S. Churchill New simplified models and formulations for turbulent flow and convection , 1997 .

[7]  Stuart W. Churchill,et al.  Theoretically Based Correlating Equations for the Local Characteristics of Fully Turbulent Flow in Round Tubes and between Parallel Plates , 1995 .

[8]  Bo Yu,et al.  The characteristics of fully developed turbulent convection in a round tube , 2001 .

[9]  Prediction of fully developed turbulent convection with minimal explicit empiricism , 2002 .

[10]  S. Churchill,et al.  The thermal entrance region in fully developed turbulent flow , 1960 .

[11]  Stuart W. Churchill,et al.  Comprehensive Correlating Equations for Heat, Mass and Momentum Transfer in Fully Developed Flow in Smooth Tubes , 1977 .

[12]  Stuart W. Churchill Critique of the Classical Algebraic Analogies between Heat, Mass, and Momentum Transfer , 1997 .

[13]  Stuart W. Churchill,et al.  A general expression for the correlation of rates of transfer and other phenomena , 1972 .

[14]  W. Kays,et al.  Turbulent Prandtl number : where are we ? , 1994 .

[15]  Bo Yu,et al.  The computed characteristics of turbulent flow and convection in concentric circular annuli. Part II. Uniform heating on the inner surface , 2005 .

[16]  Bo Yu,et al.  The characteristics of turbulent flow and convection in concentric circular annuli. Part I: flow , 2003 .

[17]  W. Kays,et al.  Heat transfer in annular passages—hydrodynamically developed turbulent flow with arbitrarily prescribed heat flux , 1963 .

[18]  Bo Yu,et al.  The computed characteristics of turbulent flow and convection in concentric circular annuli. Part III. Alternative thermal boundary conditions , 2005 .